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Locus at a Fixed Distance
In this locus at fixed distance worksheet, 10th graders solve 10 different problems related to determining a fixed distance. First, they write the equation of the locus of points a certain number of units from the x-axis. Then, students...
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Unit 14 - Loci and Transformations
In this transformations worksheet, students solve 25 short answer problems. Students dilate, reflect, and translate points and figures in the coordinate plane. Students determine scale factors and lines of symmetry of figures.
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Parallel Lines
For this parallel lines worksheet, 10th graders solve 10 different problems that include determining various parallel lines. First, they describe the locus of an object that has to be kept equidistant from 2 parallel objects. Then,...
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Geometry Practice: Loci and Transformations
This resource guides young geometers to create new polygons from others of equal area, compare an image to its reflection and find errors, conduct repeated reflections, map translations, and determine center of rotation. No solutions are...
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Compound Locus
In this compound locus worksheet, 10th graders solve and complete 10 different problems related to compound locus. First, they determine the number of points in a plane that is units from a given line and from a given point on a line....
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Compound Locus
In this compound locus learning exercise, 10th graders solve and complete 10 different problems that include compound locus. First, they determine the number of points in a plane given the units from a given line and a point on the line....
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Intersecting Lines
In this intersecting lines worksheet, 10th graders identify and complete 10 different problems that include equidistant intersecting lines. First, they write the equation of the locus of points equidistant from the x-axis and the y-axis...
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Compound Locus
Learners investigate circles and compound locus. In this geometry lesson, students identify the distance from a point to a line. They use Cabri software to create lines and circles.
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Ruler and Compass Constructions
Fourth and fifth graders examine how to construct perpendicular lines and to bisect angles using rulers and compasses in this unit of lessons. They design a number of polygons using these methods.
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Introduction to Locus
Students define the five rules of loci. In this geometry lesson, students identify the locus of points that creates a circle. They calculate the distance from a fixed line and point.
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Constructions and Loci
In this constructions and loci worksheet, students create a scale drawing of a running track. They identify the starting positions for a given race. Students bisect angles. They construct an angle trisector. This three page worksheet...
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Analytic Geometry-Good Problems from Alex Pintilie
In this analytic geometry worksheet, students solve 12 word problems. Problems cover identifying the locus of an equation as well as the locus.
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Angle Constructions
In this angle constructions activity, 6th graders solve and complete 4 various types of problems. First, they construct a perpendicular bisector of two points. Then, students construct an angle bisector for the angle shown. In addition,...
Balanced Assessment
Fit-Ness
Serve four towns with one bus route. Pupils develop a bus route that meets certain criteria to serve four towns. They determine which of the routes would best serve all of them. Individuals then hypothesize where a fifth town should be...
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Exponential Reflections
High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Students repeat the process using different exponential functions using a slider.
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Equidistant from Two Points
In this equidistant worksheet, students identify the locus of points equidistant from two given points. They write the equation of locus points. This one-page worksheet contains ten problems.
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Angles, Parallel Lines, and Polygons
Learners examine how to investigate polygons using an instrument of their own construction. They should be able to prove the general formula for the number of degrees in any polygon (including a triangle). Finally they investigate an...
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Graphs
In this algebra worksheet, students calculate the point of intersection between a circle and a straight line. There are 5 questions with an answer key.
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Properties of Parabolas
Learn to identify the properties of parabolas. Students define parabola as the locus of all points equidistant from a fixed point and a fixed line. Also, interpret the equation for a parabola in vertex form and gain a visual...
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Inequality as Distance
In this algebra worksheet, 10th graders calculate the distance between two points using inclusive and exclusive values. They graph their results on a number line. An answer is provided.
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Phone Button Boggle
In this phone button boggle worksheet, students identify the number of math words they can find on a phone keypad according to given directions. This one-page worksheet contains one problem. Answers are provided.
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Exploring Geometric Constructions of Parabolas
Students are introduced to the construction geometrically of parabolas. Using a software program, they identify lines, segments and midpoints. They label the parabolas properties and characteristics and use a formula to determine the...
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Inheritance Intrigue
Students slve a case of unclear heredity using three lines of evidence and knowledge gained from the lesson in this biology lesson about Mendelian inheritance. The lesson includes handouts and a question sheet for final, individual...
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Parabolas
Students review the definition of a parabola. They trace a parabola by locating points the same distance from a point as they are to a line. Students develop an equation for a parabola with its vertex at the origin. Students solve...